On the album 1989 by Taylor swift, Blank space is 12 seconds longer than shake it off. If the combined time of the two songs is 7 minutes and 30 seconds, how long is Shake It Off? Give your answer in minutes and seconds.
Answer:
Givens:
Blank Space is 12 sec longer than Shake It Off.The duration combined is 7 minutes and 30 seconds, which is 420 seconds.Lest's call [tex]B[/tex] Blank Space and [tex]S[/tex] Shake it Off, the relations would be
[tex]B=12+S\\B+S=420[/tex]
Now, we replace the first equation into the second equation and solve for [tex]S[/tex]:
[tex]12+S+S=420\\2S=420-12\\2S=408\\S=\frac{408}{2}=204[/tex]
Then, we replace this value into the first equation
[tex]B=12+S\\B=12+204=216[/tex]
This means that Shake It Off is 204 seconds long and Blank Space is 216 seconds long.
Therefore, if we express in minutes and seconds, we would have:[tex]204sec\frac{1min}{60sec}=3.4min=3 \ min \ and \ 24 sec[/tex]
[tex]216sec\frac{1min}{60sec}=3.6 min=3 \ min \ and \ 36 sec[/tex]
If ABCD is a parallelogram, what can we say about the diagonals BD and AC?
A.They're congruent to sides AD and BC
B. They bisect each other
C. They're congruent to sides AB and DC
D. They're congruent
Answer: The answer is D
Step-by-step explanation:
what are the steps to
2 divided by 1054
Santiago receives an allowance of 7$ every week
How much total does he receive after 4 weeks
In 1990, one city’s population was 98,064. In 2000, the same city’s population increased by 13,434. In 2010, the city’s population increased by another 7,892.
What was the city's population in 2010?
Lori had $126.89 in her bank account. She deposited $21.49 into it and then wrote a check for her car repairs for $156.61. What was the ending balance in her account?
The ending balance would be (-8.23).
What is unitary Method?The unitary method is a technique for solving a problem by first finding the value of a single unit, and then finding the necessary value by multiplying the single unit value.
Given:
Lori had $126.89 in her bank account.
She deposited $21.49 into it and then wrote a check for her car repairs for $156.61.
After deposit her balance would be
=126.89 + 21.49
=148.38
and, the balance after paying for the repair
=148.38 - 156.61
=$ (-8.23)
Hence, the ending balance would be (-8.23).
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There are 111 guest attending a party there are 15 servers each server has the same number of guest to serve Jess will serve any extra guest how many guest will Jess be serving? Please help me
Answer: The required number of guests served by Jess is 13.
Step-by-step explanation: Given that there are 111 guest attending a party there are 15 servers each server has the same number of guest to serve.
If Jess will serve any extra guest, then we are to find he number of guests served by Jess.
By division algorithm, we can write
[tex]111=7\times15+6\\\\\Rightarrow 111=7\times14+(7+6).[/tex]
So, 14 servers will serve 7 guests each and Jess will serve 7 guests along with extra 6 guests.
Therefore, the total number of guests served by Jess is given by
[tex]n=7+6=13.[/tex]
Thus, the required number of guests served by Jess is 13.
The zoom feature on a copier sets the percent size of a copy. Lebron wants to make a 200% copy of a photograph. The original photo has a width of 5 in. What width will the copy be?
Answer: 10 in.
Step-by-step explanation:
Given : The zoom feature on a copier sets the percent size of a copy. Lebron wants to make a 200% copy of a photograph.
We can write 200% = 2 [ ∵ to convert percent into decimal or fraction we divide it by 100 and [tex]200\div100=2[/tex] ]
Since , The original photo has a width of 5 in.
Then, the width of the copy will be :-
[tex]2\times5=10\ in.[/tex]
Hence, the width of the copy will be 10 in.
Is 10/11 rational or irrational? (10/11 = 0.909090)
please help
ok it's blurry sorry
Is sarah is 24 years younger than her mom and if the sum of their age is 68 how old is sarah?
Can someone help pleases
Tony started a blanket business. He purchased a sewing machine and some fabric to get started, and then sold each blanket for the same price. The expression −450+12x represents the profit that Tony has earned based on the number of blankets sold. Which expression represents the total amount Tony earns from selling blankets?
~~~~~~~~The answer IS 12x~~~~~~~~
Grace sold 5/8 of her stamp collection. What is this amount as a decimal?
Jamel is asked to create triangles using three of four given sticks. The sticks measure 3 in., 6 in., 7 in., and 8 in. He creates these 4 triangles.
Triangle 1: 3 in., 6 in., 7 in.
Triangle 2: 3 in., 6 in., 8 in.
Triangle 3: 3 in., 7 in., 8 in.
Triangle 4: 6 in., 7 in., 8 in.
How many of his triangles are obtuse?
(a.)1
(b.)2
(c.)3
(d.) 4
The number of obtuse triangles from the information will be 3.
What is an obtuse triangle?
It should be noted that an obtuse triangle is a triangle with one obtuse angle that is greater than 90° and two acute angles.
Given that, Jamel is asked to create triangles using three of four given sticks. The sticks measure 3 in., 6 in., 7 in., and 8 in. He creates these 4 triangles.
In this case, Jamel is asked to create triangles using three or four given sticks. In an obtuse triangle, the square of the third side is always greater than the sum of the two sides.
Therefore, By the given numbers there can be made 4 triangles having sides:
1) 3, 6, 7
3) 3, 7, 8
4) 3, 6, 8
Therefore, the correct option will be 3.
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What are factors and can you give me an example of an expression and it's factors
Raj's hourly wage is 5.50. He already saved 68 dollars for a $200 video game system. How many hours does Raj need to work to earn the remainder of the money he needs to buy the video game system?
kelly ate 7 apples. this represents 50% of the bag of apples. how many apples were originally in the bag
6-13x=24-10(2x+8)+62+7x
Using repeated addition solve 5x4
Using repeated addition, the value of 4 x 5 will be 20.
What is Algebra?Algebra is the study of graphic formulas, while logic is the interpretation among those signs.
The expression is given below.
⇒ 5 x 4
Using repeated addition, the expression can be written as,
⇒ 5 + 5 + 5 + 5
⇒ 20
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A crane cable can support a maximum load of 22,000 kg. If a bucket has a mass of 5,000 kg and gravel has a mass of 1,500 kg for every cubic meter, how many cubic meters of gravel can safely lifted by the crane?
Final answer:
The crane can safely lift approximately 11.33 cubic meters of gravel, taking into account the maximum load the cable can support and the mass of the bucket and gravel.
Explanation:
We need to calculate the maximum volume of gravel a crane cable can lift, given the maximum load it can support. The crane's cable can support a maximum load of 22,000 kg. Since the bucket that carries the gravel has a mass of 5,000 kg, we subtract this mass from the maximum load the cable can support to find the maximum mass of gravel that can be lifted:
22,000 kg (max load) - 5,000 kg (bucket mass) = 17,000 kg (max gravel mass)
Given that 1 cubic meter of gravel has a mass of 1,500 kg, we can calculate the volume of gravel that can be safely lifted by the crane by dividing the maximum gravel mass by the mass of gravel per cubic meter:
17,000 kg (max gravel mass) ÷ 1,500 kg/m³ (gravel density) = 11.33 m³
Therefore, the crane can safely lift approximately 11.33 cubic meters of gravel.
Pls help me with grade 2 ecuation
2x square-5x+2=0
The solutions are x=2 or x=1/2
Are the opposites of -6.5 and the absolute value value -6.5 the same
If a perimeter of a room is 78 feet, what is the area of the floor of the room?
There is a rectangular diagram with the longer written "2w+3"and shorter side has "w" written.
What is (-8)to the power of 2 equal??
Write 36 as a product of its prime factors write the factors in order, from smallest to largest
What is the axis of symmetry for the graph of y – 4x = 7 – x2 ?
Answer:
axis of symmetry at x=2
Step-by-step explanation:
[tex]y - 4x = 7 - x^2[/tex]
LEts solve for y
Add 4x on both sides
[tex]y=- x^2+4x+7[/tex]
To find axis of symmetry we use formula
[tex]x=\frac{-b}{2a}[/tex]
the equation in the form of ax^2 + bx+c
a= -1 , b= 4
Plug in the values
[tex]x=\frac{-4}{2(-1)}=2[/tex]
So axis of symmetry at x=2
The cover of a photo album has an area of 97.5 square inches. Find its area in square centimeters.(1cm =
0.3937 inches)
Answer: [tex]629.031 \text{ square centimeters}[/tex]
Step-by-step explanation:
Given : The cover of a photo album has an area of 97.5 square inches.
It is given that 1 cm = 0.3937 inches
By unitary method , 1 inch=[tex]\dfrac{1}{0.3937}=2.54000508001\approx2.54 \text{ cm}[/tex]
Then, 97.5 square inches =[tex]97.5\times2.54\times2.54[/tex]
[tex]\\\\=629.031\approx629.031 \text{ square centimeters}[/tex]
Hence, The required answer is[tex]629.031 \text{ square centimeters}[/tex].
A jug holds 4.8 liters. How many milliliters does it hold?
we know that
[tex]1\ liter=1,000\ milliliters[/tex]
so
By proportion
Find how many milliliters are [tex]4.8\ liters[/tex]
[tex]\frac{1,000}{1} \frac{ml}{l} =\frac{x}{4.8} \frac{ml}{l} \\ \\ x=1,000*4.8\\ \\x=4,800\ ml[/tex]
therefore
the answer is
[tex]4,800\ milliliters[/tex]
A one-minute advertisement on a local television station during prime time (8- 10 p.m. on weeknights) costs the advertiser $12,800. To the nearest cent, how much does the advertisement cost per second? Show your work using dimensional analysis and Giant Ones.
The cost of the advertisement per second is $213.33 to the nearest cent.
Explanation:To find the cost per second of the advertisement, we need to convert the cost from dollars per minute to dollars per second. We can use dimensional analysis to do this.
First, we know that there are 60 seconds in one minute. So, we can set up a conversion factor to convert from minutes to seconds:
1 minute = 60 seconds
Next, we set up a ratio using the given cost per minute and the conversion factor:
$12,800/1 minute * 1 minute/60 seconds = $213.33/second
Therefore, the cost of the advertisement per second is $213.33 to the nearest cent.